" value of "|[1-i,0^(2),-omega],[0^(2)+i,0,-i],[1-2i-omega^(2),omega^(2)-omega,i-omega]|

What is the value of |(1-i, omega^2,-omega), (omega^2+i,omega,-i), (1-2i-omega^2,omega^2-omega,i-omega)|, where omega is the cube root of unity?

What is the value of |{:(" "1-i," "omega^(2)," "-omega),(" "omega^(2)+i," "omega," "-i),(1-2i-omega^(2),omega^(2)-omega,i-omega):}| , where omega is the cube root of unity ?

If omega is a cube root of unity, then |(1-i,omega^2, -omega),(omega^2+i, omega, -i),(1-2i-omega^2, omega^2-omega,i-omega)|= (A) -1 (B) i (C) omega (D) 0

If omega is a cube root of unity, then |(1-i,omega^2, -omega),(omega^2+i, omega, -i),(1-2i-omega^2, omega^2-omega,i-omega)| =

If omega=-(1)/(2)+i (sqrt(3))/(2) , the value of [[1, omega, omega^(2) ],[ omega, omega^(2), 1],[ omega^(2),1, omega]] is

Let omega=-(1)/(2)+i (sqrt(3))/(2) , then the value of |[1,1,1],[1,-1-omega^(2),omega^(2)],[1,omega^(2),omega^(4)]| is

Let omega = - (1)/(2) + i (sqrt3)/(2) , then the value of the determinant |(1,1,1),(1,-1- omega^(2),omega^(2)),(1,omega^(2),omega^(4))| , is

Let omega=-(1)/(2)+i(sqrt(3))/(2). Then the value of the determinant det[[1,1,11,1,omega^(2)1,omega^(2),omega^(4)]]3 omega(omega-1)(C)3 omega^(2)(D)3 omega(1-omega)

Let omega=-(1)/(2)+i(sqrt(3))/(2) . Then the value of the determinant |{:(1,1,1),(1,-1-omega^(2),omega^(2)),(1, omega^(2), omega^(4)):}| is